Necessary and sufficient Tauberian conditions under which statistically logarithmic convergence follows from statistically logarithmic summability
نویسندگان
چکیده
منابع مشابه
Necessary and Sufficient Conditions under Which Convergence Follows from Summability by Weighted Means
We prove necessary and sufficient Tauberian conditions for sequences summable by weighted mean methods. The main results of this paper apply to all weighted meanmethods and unify the results known in the literature for particularmethods. Among others, the conditions in our theorems are easy consequences of the slowly decreasing condition for real numbers, or slowly oscillating condition for com...
متن کاملSOME CONDITIONS UNDER WHICH SUBSEQUENTIAL CONVERGENCE FOLLOWS FROM (A,m) SUMMABILITY
In this paper, we obtain some conditions on a sequence under which subsequential convergence [Math. Morav. 5, 19-56 (2001; Zbl 1047.40005)] of the sequence follows from its (A, m) summability.
متن کاملThe Logarithmic Funnel Heap: A Statistically Self-Similar Priority Queue
The present work contains the design and analysis of a statistically self-similar data structure using linear space and supporting the operations, insert, search, remove, increase-key and decrease-key for a deterministic priority queue in expected O(1) time. Extract-max runs in O(logN) time. The depth of the data structure is at most log∗N . On the highest level, each element acts as the entran...
متن کاملLogarithmic Summability of Fourier Series
A set of regular summations logarithmic methods is introduced. This set includes Riesz and Nörlund logarithmic methods as limit cases. The application to logarithmic summability of Fourier series of continuous and integrable functions are given. The kernels of these logarithmic methods for trigonometric system are estimated.
متن کاملLogarithmic density and logarithmic statistical convergence
In this paper we use the idea of logarithmic density to define the concept of logarithmic statistical convergence. We find the relations of logarithmic statistical convergence with statistical convergence, statistical summability (H, 1) introduced by Móricz (Analysis 24:127-145, 2004) and [H, 1]q-summability. We also give subsequence characterization of statistical summability (H, 1). MSC: 40A0...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Classical Analysis
سال: 2023
ISSN: ['1848-5979', '1848-5987']
DOI: https://doi.org/10.7153/jca-2023-21-03